List of works - Peter Sarnak

A new curvature invariant and entropy of geodesic flows

A new method for lower bounds of L-functions

scientific article published in 2004

A proof of Siegel's weight formula

scientific article

Advances in random matrix theory, zeta functions, and sphere packing

scientific article

Affine linear sieve, expanders, and sum-product

scientific article published in 2009

Arithmetic and Equidistribution of Measures on the Sphere

scientific article published in 2003

Asymptotic Behavior of Periodic Orbits of the Horocycle Flow and Eisenstein Series

scientific article published in 1981

Book Review: Prime numbers and the Riemann hypothesis

scholarly article published on 20 February 2018

Chebyshev's Bias

article

Class numbers of indefinite binary quadratic forms

Compact isospectral sets of plane domains

scientific article

Cusp forms for character varieties

scientific article published in 1994

Extremals of determinants of Laplacians

scientific article (publication date: September 1988)

In Memory of Marina Ratner 1938–2017

scholarly article

Integral Apollonian Packings

L^∞ norms of eigenfunctions of arithmetic surfaces

scientific article

Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics ⬇️

scholarly article

Low lying zeros of families of L-functions

scientific article published in 2000

Maass cusp forms

scientific article published on June 1985

Minima of Epstein’s Zeta function and heights of flat tori

scientific article

Moduli space, heights and isospectral sets of plane domains

scientific article

On Selberg's eigenvalue conjecture

scientific article published in 1995

On cusp forms for co-finite subgroups of PSL(2, ℝ)

On the period matrix of a Riemann surface of large genus (with an Appendix by J.H. Conway and N.J.A. Sloane)

article published in 1994

Poincaré series for SO(n, 1)

scientific article published in 1991

Ramanujan duals, II.

scientific article

Ramanujan graphs

article

Ratner's Work on Unipotent Flows and Impact

scholarly article

Recent progress on the quantum unique ergodicity conjecture

Sector Estimates for Hyperbolic Isometries

scientific article published in 2010

Spectra of hyperbolic surfaces

scientific article published in 2003

Spectral behavior of quasi periodic potentials

Sums of Kloosterman Sums

scientific article published in 1983

Super-Golden-Gates for PU(2)

scientific article

The Behaviour of Eigenstates of Arithmetic Hyperbolic Manifolds

scientific article published in 1994

The affine sieve

scientific article

The arithmetic and geometry of some hyperbolic three manifolds

scientific article published in 1983

The determinant of the Eisenstein matrix and Hilbert class fields

scientific article

The distribution of spacings between the fractional parts of n^2 α

The laplacian for domains in hyperbolic space and limit sets of Kleinian groups

scientific article published in 1985

Topologies of Nodal Sets of Random Band‐Limited Functions

scholarly article

Zeroes of zeta functions and symmetry

scientific article published in 1999

Zeros of L-functions attached to Maass forms

scientific article

List of works by Peter Sarnak

A new curvature invariant and entropy of geodesic flows

A new method for lower bounds of L-functions

A proof of Siegel's weight formula

Advances in random matrix theory, zeta functions, and sphere packing

Affine linear sieve, expanders, and sum-product

Arithmetic and Equidistribution of Measures on the Sphere

Asymptotic Behavior of Periodic Orbits of the Horocycle Flow and Eisenstein Series

Book Review: Prime numbers and the Riemann hypothesis

Chebyshev's Bias

Class numbers of indefinite binary quadratic forms

Compact isospectral sets of plane domains

Cusp forms for character varieties

Extremals of determinants of Laplacians

In Memory of Marina Ratner 1938–2017

Integral Apollonian Packings

L^∞ norms of eigenfunctions of arithmetic surfaces

Line-Graph Lattices: Euclidean and Non-Euclidean Flat Bands, and Implementations in Circuit Quantum Electrodynamics ⬇️

Low lying zeros of families of L-functions

Maass cusp forms

Minima of Epstein’s Zeta function and heights of flat tori

Moduli space, heights and isospectral sets of plane domains

On Selberg's eigenvalue conjecture

On cusp forms for co-finite subgroups of PSL(2, ℝ)

On the period matrix of a Riemann surface of large genus (with an Appendix by J.H. Conway and N.J.A. Sloane)

Poincaré series for SO(n, 1)

Ramanujan duals, II.

Ramanujan graphs

Ratner's Work on Unipotent Flows and Impact

Recent progress on the quantum unique ergodicity conjecture

Sector Estimates for Hyperbolic Isometries

Spectra of hyperbolic surfaces

Spectral behavior of quasi periodic potentials

Sums of Kloosterman Sums

Super-Golden-Gates for PU(2)

The Behaviour of Eigenstates of Arithmetic Hyperbolic Manifolds

The affine sieve

The arithmetic and geometry of some hyperbolic three manifolds

The determinant of the Eisenstein matrix and Hilbert class fields

The distribution of spacings between the fractional parts of n^2 α

The laplacian for domains in hyperbolic space and limit sets of Kleinian groups

Topologies of Nodal Sets of Random Band‐Limited Functions

Zeroes of zeta functions and symmetry

Zeros of L-functions attached to Maass forms

Zeros of principal $L$ -functions and random matrix theory